N.J. Stat. Ann. § 39:3-26.3

In addition to subjecting the holder of a crossing permit to the penalty provided for operation of an unregistered vehicle upon a highway, the director shall revoke the crossing permit of any person who operates or permits the operation of an unregistered vehicle upon a highway other than as authorized by the crossing permit. No person shall operate such vehicle upon a highway as authorized by the crossing permit unless he shall possess a valid New Jersey driver's license for the class of vehicle being operated.